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Finding the Fourth Proportional to 57,805.50, 86,668.41 and 22,749.18

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Solution

The fourth proportional to 57,805.50, 86,668.41 and 22,749.18 is: 34,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.50 : 86,668.41 = 22,749.18 : x
  2. Step 2: Convert to fraction form
    57,805.50/86,668.41 = 22,749.18/x
  3. Step 3: Cross multiply
    57,805.50x = 86,668.41 × 22,749.18
  4. Step 4: Simplify right side
    57,805.50x = 1,971,635,259.40
  5. Step 5: Solve for x
    x = 1,971,635,259.40/57,805.50
  6. Step 6: Final answer
    x = 34,108.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.